Answer:
Step-by-step explanation:
We are given the two functions:
And we want to find:
This is equivalent to:
Substitute:
Distribute:
Rearrange:
Hence:
A = lw
Plug in what we know:
25/54 = (5/9)w
Divide 5/9 to both sides or multiply by its reciprocal, 9/5:
25/54 * 9/5 = w
Multiply the numerators and denominators together:
225/270 = w
Simplify:
<span>w = 5/6</span>
Answer:
<h3>X=5/31=0.16</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
4x+27x=31x (Combine like terms, group like terms, & Add.)
31x=5
31x/31=5/31 (Divide by 31 from both sides.)
5/31=0.16
x=5/31=0.16
In conclusion, the correct answer is x=5/31=0.16.
Answer:
(a) 3 ft, 4 ft, 5 ft
Step-by-step explanation:
The triangle inequality requires the sum of the two short sides exceed the long side.
__
a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible
b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle
c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle
d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)
__
The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.
Answer:
C. 15²π
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Diameter: d = 2r
- Area of a Circle: A = πr²
Step-by-step explanation:
<u>Step 1: Define</u>
d = 30 m
<u>Step 2: Find Area</u>
- Substitute [D]: 30 m = 2r
- Isolate <em>r</em>: 15 m = r
- Rewrite: r = 15 m
- Substitute [AC]: A = π(15 m)²
- Rearrange: A = 15²π
